258746880 has 160 divisors (see below), whose sum is σ = 945546624. Its totient is φ = 59129856.

The previous prime is 258746869. The next prime is 258746881. The reversal of 258746880 is 88647852.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (258746881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51354 + ... + 56166.

Almost surely, 2^258746880 is an apocalyptic number.

258746880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472773312).

258746880 is an abundant number, since it is smaller than the sum of its proper divisors (686799744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258746880 is an equidigital number, since it uses as much as digits as its factorization.

258746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 258746880 is about 16085.6109613530. The cubic root of 258746880 is about 637.2233878766.

The spelling of 258746880 in words is "two hundred fifty-eight million, seven hundred forty-six thousand, eight hundred eighty".